Home / 1,430.40-2,146.20-1,022.16

Finding the Fourth Proportional to 1,430.40, 2,146.20 and 1,022.16

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Solution

The fourth proportional to 1,430.40, 2,146.20 and 1,022.16 is: 1,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.40 : 2,146.20 = 1,022.16 : x
  2. Step 2: Convert to fraction form
    1,430.40/2,146.20 = 1,022.16/x
  3. Step 3: Cross multiply
    1,430.40x = 2,146.20 × 1,022.16
  4. Step 4: Simplify right side
    1,430.40x = 2,193,759.79
  5. Step 5: Solve for x
    x = 2,193,759.79/1,430.40
  6. Step 6: Final answer
    x = 1,533.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.